commit 1b9a48617f875cfb67e7610d3a6d735556cb7426 parent ff1fb593d1d975e0c5d5df7a1815949dc8ac338c Author: minerva-jupiter <ryouturn@gmail.com> Date: Sat, 13 Jun 2026 16:39:16 +0900 docs(README.md): convert math blocks to inline LaTeX syntax Replaced generic math code blocks with LaTeX display math syntax ($$ ... $$) for improved rendering compatibility in Markdown viewers. Diffstat:
| M | README.md | | | 12 | ++++-------- |
1 file changed, 4 insertions(+), 8 deletions(-)
diff --git a/README.md b/README.md @@ -42,19 +42,15 @@ The essence of the bilinear transform is to approximate the integrand using a tr Discretization of position $x[n]$ -```math -\int_{(n-1)T}^{nT} \frac{dx(t)}{dt} dt = \int_{(n-1)T}^{nT} v(t) dt +$$\int_{(n-1)T}^{nT} \frac{dx(t)}{dt} dt = \int_{(n-1)T}^{nT} v(t) dt$$ -x[n] - x[n-1] = \frac{T}{2} \left( v[n] + v[n-1] \right) \quad \cdots \text{(Equation 1)} -``` +$$x[n] - x[n-1] = \frac{T}{2} \left( v[n] + v[n-1] \right) \quad \cdots \text{(Equation 1)}$$ Discretization of velocity $v[n]$ -```math -\int_{(n-1)T}^{nT} \frac{dv(t)}{dt} dt = \int_{(n-1)T}^{nT} \frac{1}{m} \left( F(t) - r v(t) - k x(t) \right) dt +$$\int_{(n-1)T}^{nT} \frac{dv(t)}{dt} dt = \int_{(n-1)T}^{nT} \frac{1}{m} \left( F(t) - r v(t) - k x(t) \right) dt$$ -v[n] - v[n-1] = \frac{T}{2m} \left( F[n] + F[n-1] - r(v[n] + v[n-1]) - k(x[n] + x[n-1]) \right) \quad \cdots \text{(Equation 2)} -``` +$$v[n] - v[n-1] = \frac{T}{2m} \left( F[n] + F[n-1] - r(v[n] + v[n-1]) - k(x[n] + x[n-1]) \right) \quad \cdots \text{(Equation 2)}$$ ---